In Problems 11 to 13, use (12.17) to find the solution of (12.7) with
Hint: Write separate formulas for
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- 2. Given the function f(x)=Vp+qx such that f(13)=5 and S(3)=V17. Find the exact values of p and q.arrow_forwardShow solutionarrow_forwardShow directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically. f(x) =23, g(x)= cos x, h(x) =cos 2x Enter the non-trivial linear combination. (1)(23) + (O (cosx) + O(cos 2x) =0arrow_forward
- 3. Consider the functions, m(x) = x + 3x and p(x) = 2x + 5, Find m(p(1)) b. Find m(p(x)) a. c. Find p(m(1)) d. Find p(m(x)) 4. Consider the functions b(x) = (x – 1)² and c(x) = Vx+1, b. Find b(c(x)) a. Find b(c(9)) d. Find c(b(x)) c. Find c(b(9))arrow_forwardif f(x)+g(x)= 3x +2 and g(x) = x –1 then f(x)= a. 2x+3 Ob. 3x+2 O c. 3x-2 O d. x+4arrow_forward6. If f(x)= V3x + 4 , find (7).arrow_forward
- 2. Consider the functions, h(x) Find h(k(- 2)) = 3x – 7 and k(x) = . b. Find h(k(x)) a. d. Find k(h(x)) c. Find k(h(- 2) 3. Consider the functions, m(x) = x² + 3x and p(x) = 2x + 5, Find m(p(1)) b. Find m(p(x)) a. c. Find p(m(1)) d. Find p(m(x)) 4. Consider the functions b(x) = (x – 1) and c(x) = V+ 1, a. Find b(c(9)) b. Find b(c(x)) c. Find c(b(9)) d. Find c(b(x))arrow_forwardLet f(x) = - 4, 9(x) = r² + 4, and h(x) = 1 + 5. Without a calculator, match the functions in (a)-(f) to the descriptions in (i)–(viii). Some of the functions may match none of the descriptions. f(x) g(x) h(x) (c) y= T(1) g(z) (a) y = (b) y f(z) g(x) (e) y = h(x) h(r*) (f) y = h(x) (d) y = fE) (g) y = g(x) (h) y = f(x) - g(x) (i) Horizontal asymptote at y = 0 and one zero at z = -5. (ii) No horizontal asymptote, no zeros, and a vertical asymptote at z = -5. (iii) Zeros at z = -5, x = -2, and r = 2. (iv) No zeros, a horizontal asymptote at y = 0, and a vertical asymptote at z = -5. (v) Two zeros, no vertical asymptotes, and a horizontal asymptote at y = 1. (vi) No zeros, no vertical asymptotes, and a horizontal asymptote at y = 1. vii) Horizontal asymptote at y = -4. viii) No horizontal asymptotes, two zeros, and a vertical asymptote at z = -5.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage